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Finding the Third Proportional to 52,980 and 120,785

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Solution

The third proportional to 52,980 and 120,785 is: 275,368.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,980 : 120,785 = 120,785 : x
  2. Step 2: Convert to fraction form
    52,980/120,785 = 120,785/x
  3. Step 3: Cross multiply
    52,980x = 120,785 × 120,785
  4. Step 4: Simplify right side
    52,980x = 14,589,016,225
  5. Step 5: Solve for x
    x = 14,589,016,225/52,980
  6. Step 6: Final answer
    x = 275,368.37

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.